Space of modular forms of level 3871, weight 2, and Character 3871.bs

• Label: 3871.2.bs
• Level: $3871$
• Weight: $2$
• Character orbit: 3871.bs
• Rep. character: $\chi_{3871}(157,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $4464$
• Sturm bound: $746$

Defining parameters

Level:	\( N \)	\(=\)	\( 3871 = 7^{2} \cdot 79 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3871.bs (of order \(42\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3871 \)
Character field:			\(\Q(\zeta_{42})\)
Sturm bound:			\(746\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3871, [\chi])\).

	Total	New	Old
Modular forms	4512	4512	0
Cusp forms	4464	4464	0
Eisenstein series	48	48	0

Trace form

4464 * q - 26 * q^2 + 346 * q^4 - 22 * q^5 - 28 * q^8 + 344 * q^9 - 34 * q^10 - 26 * q^11 - 28 * q^13 + 350 * q^16 - 16 * q^18 - 30 * q^19 - 28 * q^20 - 24 * q^21 - 48 * q^22 - 26 * q^23 - 382 * q^25 + 20 * q^26 + 6 * q^31 - 46 * q^32 - 772 * q^36 - 26 * q^38 - 136 * q^40 - 188 * q^42 - 38 * q^44 - 86 * q^45 - 44 * q^46 + 58 * q^49 + 228 * q^50 + 46 * q^51 - 92 * q^52 - 182 * q^55 - 56 * q^62 - 788 * q^64 - 32 * q^65 - 26 * q^67 + 38 * q^72 - 28 * q^73 - 84 * q^76 - 11 * q^79 - 72 * q^80 + 240 * q^81 + 224 * q^83 - 244 * q^84 - 36 * q^87 - 294 * q^88 - 100 * q^89 - 532 * q^90 - 36 * q^92 + 164 * q^95 + 434 * q^98 - 172 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3871, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.